8,518,614

2 × 3 × 13² × 31 × 271

Starting at 8,518,614, the Collatz iteration reaches 1 after 137 steps. The first transition is 4259307; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 31 × 271

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,113,984

Proper Divisor Sum 10,595,370

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8518613 ← → #8518619

Radix Representation

Decimal	8518614
Binary	100000011111101111010110 (24 bits)
Octal	0o40375726
Hexadecimal	0x81FBD6

Divisor Catalog (48)

1 2 3 6 13 26 31 39 62 78 93 169 186 271 338 403 507 542 806 813 1,014 1,209 1,626 2,418 3,523 5,239 7,046 8,401 10,478 10,569 15,717 16,802 21,138 25,203 31,434 45,799 50,406 91,598 109,213 137,397 218,426 274,794 327,639 655,278 1,419,769 2,839,538 4,259,307 8,518,614

Collatz Trajectory (137 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,518,614 4,259,307 12,777,922 6,388,961 19,166,884 9,583,442 4,791,721 14,375,164 7,187,582 3,593,791 10,781,374 5,390,687 16,172,062 8,086,031 24,258,094 12,129,047 36,387,142 18,193,571 54,580,714 27,290,357 81,871,072 40,935,536 20,467,768 10,233,884 5,116,942 2,558,471 7,675,414 3,837,707 11,513,122 5,756,561 17,269,684 8,634,842 4,317,421 12,952,264 6,476,132 3,238,066 1,619,033 4,857,100 2,428,550 1,214,275 3,642,826 1,821,413 5,464,240 2,732,120 1,366,060 683,030 341,515 1,024,546 512,273 1,536,820 768,410 384,205 1,152,616 576,308 288,154 144,077 432,232 216,116 108,058 54,029

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